The Moduli Space of Thickenings

Details The Moduli Space of Thickenings The Moduli Space of Thickenings

2007-02-16

arxiv.org/abs/math/0702500v1

Mathematics

Algebraic Topology

Scientific paper

This paper studies the homotopy type of the moduli space of compact
n-manifold thickenings of a finite complex. The main result computes the
homotopy fibers of the stabilization map from n-thickenings to
(n+1)-thickenings in a wide range. In particular, we obtain an EHP-type
sequence for thickenings extending work of C.T.C. Wall.

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